LCM and HCF SSC MTS Questions

LCM and HCF

LCM and HCF MCQ Questions

1.
Two persons take steps of 77 cm and 88 cm, respectively. If they start in step, then what is the minimum distance (in cm) they should cover so that both of them can cover the distance in complete steps?
SSC MTS 2023-01.09.2023-1
A.
968
B.
828
C.
616
D.
560
ANSWER :
C. 616
2.

Three measuring tapes are 64 cm, 72 cm and 96 cm, respectively. What is the least length that can be measured by any of the tapes exactly (in cm)?
SSC MTS 2023-04.09.2023-1

A.

575

B.

570

C.

576

D.

525

ANSWER :

C. 576

3.

The least common multiple (LCM) of p and q is r. The LCM of p2q and pq2 is ________
SSC MTS 2023-04.09.2023-2

A.

pqr3

B.

pqr

C.

pq

D.

pqr2

ANSWER :

B. pqr

4.
What is the largest number that divides 627, 15630 and 3128 and leaves remainders of 2, 5 and 3 respectively?
SSC MTS 2023-04.09.2023-3
A.
775
B.
650
C.
625
D.
1225
ANSWER :
C. 625
5.
Three numbers are in the ratio 3 : 4 : 5 and their HCF is 18. What is the sum of these numbers?
SSC MTS 2023-05.09.2023-1
A.
198
B.
216
C.
234
D.
180
ANSWER :
B. 216
6.
The HCF of three numbers is 57. If they are in the ratio 4 : 5 : 6, then find the numbers.
SSC MTS 2023-05.09.2023-2
A.
228, 285, 342
B.
236, 295, 354
C.
240, 300, 360
D.
232, 290, 348
ANSWER :
A. 228, 285, 342